A small-gain feedback interconnection for bilinear systems

Title: A small-gain feedback interconnection for bilinear systems
Creator: Dower, Peter M.; Kellett, Christopher M.
Relation: 2015 5th Australian Control Conference (AUCC). Proceedings of the 2015 5th Australian Control Conference (Gold Coast, Qld 5-6 November, 2016) p. 126-130
Relation: ARC.DP12010549 & ARC FT110100746
Relation: http://www.aucc.org.au/AUCC2015/
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2015
Description: Recently it has been shown that general bilinear systems satisfy a nonlinear ℒ₂-gain property, which is a qualitatively equivalent special case of the more general integral input-to-state stability (iISS) property. By exploiting a small-gain theorem that attends this nonlinear ℒ₂-gain property, a nontrivial example of a feedback interconnection for general bilinear systems is constructed that preserves this nonlinear ℒ₂-gain property, and hence iISS, in closed loop.
Subject: bilinear systems; closed loop systems; feedback; interconnected systems; nonliner control systems; stability
Identifier: http://hdl.handle.net/1959.13/1315592
Identifier: uon:22966
Identifier: ISBN:9781922107695
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format